US20050229703A1 - Coupling apparatus for inertial sensors - Google Patents
Coupling apparatus for inertial sensors Download PDFInfo
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- US20050229703A1 US20050229703A1 US11/106,354 US10635405A US2005229703A1 US 20050229703 A1 US20050229703 A1 US 20050229703A1 US 10635405 A US10635405 A US 10635405A US 2005229703 A1 US2005229703 A1 US 2005229703A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C19/00—Gyroscopes; Turn-sensitive devices using vibrating masses; Turn-sensitive devices without moving masses; Measuring angular rate using gyroscopic effects
- G01C19/56—Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces
- G01C19/5719—Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces using planar vibrating masses driven in a translation vibration along an axis
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C19/00—Gyroscopes; Turn-sensitive devices using vibrating masses; Turn-sensitive devices without moving masses; Measuring angular rate using gyroscopic effects
- G01C19/56—Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces
- G01C19/5719—Turn-sensitive devices using vibrating masses, e.g. vibratory angular rate sensors based on Coriolis forces using planar vibrating masses driven in a translation vibration along an axis
- G01C19/5733—Structural details or topology
- G01C19/574—Structural details or topology the devices having two sensing masses in anti-phase motion
Definitions
- the invention generally relates to sensors and, more particularly, the invention relates to inertial sensors.
- Inertial sensors such as MEMS gyroscopes, often are adversely affected by rotational vibration noise at the drive frequency (often referred to as “wobble”).
- MEMS gyroscopes can produce false readings if they are not capable of distinguishing between rotational vibration and the actual movement they are intended to detect.
- distortion of the geometry of a MEMS device having an oscillating mass can produce an imbalance in the forces transverse to a longitudinal drive finger. This imbalance can cause a net force that is indistinguishable from a Coriolis force. Consequently, a gyroscope can produce false outputs.
- a gyroscope can produce false outputs.
- Embodiments of the present invention provide apparatus for coupling inertial sensor element frames so as to allow anti-phase movements of the inertial sensor element frames along parallel axes but substantially prevents in-phase movements of the frames.
- the apparatus includes a bar coupled between first and second sensor element frames and at least one supporting structure supporting the bar.
- the at least one structure is coupled to a substrate underlying the frames.
- the structures allow the bar to rotate at a pivot point when the frames move in anti-phase to one another along substantially parallel axes but substantially prevent in-phase movements of the frames.
- the apparatus further includes a first pair of short flexures extending from one of the frames and interconnected by a first long flexure and a second pair of short flexures extending from the other of the frames and interconnected by a second long flexure.
- the bar interconnects the first long flexure to the second long flexure substantially at the midpoints of the first and second long flexures.
- the at least one supporting structure includes an anchor flexure supporting the bar.
- the anchor flexure intersects with the bar substantially at the midpoints of the bar and the anchor flexure. Each end of the anchor flexure anchored to the substrate.
- Each of the long flexures is typically coupled so as to flex as the bar rotates.
- the apparatus further includes a first flexure extending from one of the frames and a second flexure extending from the other of the frames.
- the bar interconnects the first and second flexures.
- the at least one supporting structure includes at least one anchor flexure supporting the bar.
- Each anchor flexure includes a structure anchored at one end to the at least one substrate and folded back 180 degrees to meet with the bar.
- the at least one anchor flexure may include four anchor flexures positioned around the pivot point. Each of the anchor flexures is typically anchored to the substrate adjacent to the bar.
- Each of the first and second flexures may include two substantially parallel members coupled at both ends, with one of the members coupled to the frame and the other member coupled to the bar such that the members flex as the bar rotates.
- the apparatus includes coupling means for coupling first and second sensor element frames and supporting means for supporting the coupling means.
- the supporting means are coupled to a substrate underlying the frames.
- the supporting means allow the coupling means to rotate at a pivot point when the frames move in anti-phase to one another along substantially parallel axes but substantially preventing in-phase movements of the frames.
- the coupling means include a first pair of short flexures extending from one of the frames and interconnected by a first long flexure; a second pair of short flexures extending from the other of the frames and interconnected by a second long flexure; and a bar that interconnects the first long flexure to the second long flexure substantially at the midpoints of the first and second long flexures.
- the supporting means may include an anchor flexure supporting the bar, the anchor flexure intersecting with the bar substantially at the midpoints of the bar and the anchor flexure, each end of the anchor flexure anchored to the substrate.
- Each of the long flexures may be coupled so as to flex as the bar rotates.
- the coupling means include a first flexure extending from one of the frames; a second flexure extending from the other of the frames; and a bar that interconnects the first and second flexures.
- the supporting means may include at least one anchor flexure supporting the bar, each anchor flexure including a structure anchored at one end to the at least one substrate and folded back 180 degrees to meet with the bar.
- the at least one anchor flexure may include four anchor flexures positioned around the pivot point. Each of the anchor flexures may be anchored to the substrate adjacent to the bar.
- Each of the first and second flexures may include two substantially parallel members coupled at both ends, one of the members coupled to the frame, the other member coupled to the bar, the members coupled so as to flex as the bar rotates.
- rotation of the substrate about an axis normal to the plane causes the movements of the frames.
- FIG. 1 schematically shows a linear array of gyroscopes configured in accordance with illustrative embodiments of the invention
- FIG. 2 schematically shows a coupling apparatus for coupling two frames shown in FIG. 1 in accordance with illustrative embodiments of the invention
- FIG. 3 schematically shows additional details of an alternative embodiment of a first pair of gyroscopes
- FIG. 4 shows more detail of the specific coupling apparatus used by the gyroscope pair shown in FIG. 3 ;
- FIG. 5 shows more detail of specific balancers in accordance with illustrative embodiments of the invention.
- an inertial sensor has a plurality of individual sensor components that all share a common centroid. Details of illustrative embodiments are discussed below.
- FIG. 1 schematically shows an array 10 of microelectromechanical systems (i.e., “MEMS”) configured in accordance with illustrative embodiments of the invention.
- MEMS microelectromechanical systems
- the array 10 of MEMS devices together combine to effectively perform the function of a single gyroscope.
- the array 10 includes four MEMS gyroscopes 12 A-D that all are secured to a common underlying substrate (not shown).
- the MEMS gyroscopes 12 A- 12 D could be secured to different substrates.
- Each gyroscope 12 A- 12 D includes at least one oscillating mass (referred to herein as “resonator 14 A, 14 B, 14 C, and 14 D,” respectively, or “resonator 14 ” generally) that 1) oscillates at a constant frequency along the X-axis and 2) is coupled with a single accelerometer frame (referred to herein as “frame 16 A, 16 B, 16 C, or 16 D,” respectively, or “frame 16 ” generally).
- the resonator 14 illustratively is compliant in the X-direction only, while the frame 16 is compliant in the Y-direction only.
- any one of the gyroscopes 12 A- 12 D about the Z-axis causes its resonator 14 to produce a Coriolis force that imparted to the accelerometer frame 16 .
- the frame 16 moves along the Y-axis.
- Capacitively coupled fingers 18 detect this Y-movement, which is translated into a signal representing the magnitude of the angular acceleration.
- the gyroscopes 12 A- 12 D are similar to those disclosed in U.S. Pat. Nos. 6,505,511 and 6,122,961, the disclosures of which are incorporated herein, in their entireties, by reference.
- the gyroscopes 12 A- 12 D also may be similar to those disclosed in U.S. Pat. No. 6,877,374, the disclosure of which also is incorporated herein, in its entirety, by reference.
- the different gyroscopes 12 A and 12 D have a common centroid with the gyroscopes producing anti-phase signals 12 B and 12 C.
- the array 10 therefore is configured to position the gyroscopes 12 A- 12 D and phase the respective resonators 14 in a manner that accomplishes this end.
- the specific placement, number of gyroscopes 12 A- 12 D, and the phase of their resonators 14 thus are coordinated to ensure that they share a common centroid.
- FIG. 1 shows an exemplary arrangement that produces the desired result.
- the array 10 includes a first pair of gyroscopes 12 A/B having the first and second gyroscopes 12 A and 12 B, and a second pair of gyroscopes 12 C/D having the third and fourth gyroscopes 12 C and 12 D.
- the resonators 14 in each pair operate 180 degrees out of phase and their frames 16 are coupled together in the manner discussed below.
- the first pair of gyroscopes 12 A/B is not coupled with the second pair 12 C/D.
- embodiments of the invention should be substantially insensitive surface shear and also, as noted above, cause angular acceleration noise to cancel.
- each pair of frames 16 is coupled to ensure that they can move in anti-phase (i.e., 180 degrees out of phase) only, although the two pairs of frames are not interconnected.
- FIG. 2 schematically shows more details of a mechanical coupling apparatus 99 for securing two of the frames. Although embodiments of the coupling apparatus 99 apply to any of the frames 16 shown, the frames 16 are identified in FIG. 2 as the first and second frames 16 A and 16 B for simplicity.
- the first frame 16 A has a first pair of short flexures 20 A that are coupled with a first long flexure 22 A.
- the second frame 16 B has a second pair of short flexures 20 B that are coupled with a second long flexure 22 B.
- a bar 24 secures the first long flexure 22 A to the second long flexure 22 B.
- a pair of anchors 26 A and 26 B extend on two sides of the bar 24 and couple with it by means of an anchor flexure 28 .
- This arrangement is substantially noncompliant when the two frames 16 A and 16 B are urged to move in phase. In contrast, this arrangement is substantially compliant when the two frames 16 A and 16 B are urged to move in anti-phase. In other words, when the first frame 16 A is urged upwardly along the Y-axis, the second frame 16 B is urged downwardly along the Y-axis. If both are urged upwardly along the Y-axis, however, this arrangement should be substantially non-compliant. In some embodiments, this arrangement permits the frames 16 A and 16 B to rotate to some extent as they move in the Y-direction.
- FIG. 3 schematically shows additional details of an alternative embodiment of the first pair of frames 16 A and 16 B. As shown, this embodiment also has the resonator 14 , frame 16 , coupling apparatus, and other components similar to those discussed above.
- FIG. 4 shows more detail of the specific coupling apparatus shown in FIG. 3 . Note that this coupling apparatus may be used with other gyroscope configurations, including those shown in FIG. 1 .
- the anchor flexure 28 actually extends outwardly and then folds back 180 degrees to meet with the bar 24 .
- the coupling apparatus also has etch compensators. See the text in FIG. 4 , which notes that the folded anchor flexure 28 allows rotation of the bar 24 about a pivot point, but no translation perpendicular to the axis of the bar 24 .
- this embodiment uses a single short flexure 20 on each frame.
- this flexure arrangement In addition to ensuring that the frames 16 A and 16 B move in anti-phase, this flexure arrangement also reduces the potentially adverse effects of material shrinkage and G cross G error. This G cross G error arises when there is in-phase movement of the frames, and this is suppressed or reduced by the couplings.
- the coupling apparatus 99 effectively add mass and stiffness to the movements of the frames 16 . Since each frame is only coupled to an adjacent frame along one of its sides, the coupling apparatus 99 effectively unbalances the movements of each frame. Therefore, the array 10 preferably includes a number of balancers (referred to herein as “balancers 97 A, 97 B, 97 C, and 97 D,” respectively, or “balancer 97 ” generally) to help offset the effects of the coupling apparatus 99 . Specifically, a balancer 97 is preferably coupled to a side of each frame opposite the side with the coupling apparatus 99 .
- balancer 97 A is coupled to frame 16 A along the side opposite the coupling 99 AB
- balancer 97 B is coupled to frame 16 B along the side opposite the coupling 99 AB
- balancer 97 C is coupled to frame 16 C along the side opposite the coupling 99 CD
- balancer 97 D is coupled to frame 16 D along the side opposite the coupling 99 CD.
- the configuration of each balancer 97 is typically the equivalent of half of a coupling apparatus 99 and therefore imparts substantially an equal but opposite mechanical effect on its respective frame 16 .
- FIG. 5 shows more detail of specific balancers 97 (in this example, balancers 97 B and 97 C that sit between the two pairs of sensor elements) in accordance with illustrative embodiments of the invention.
- the configuration of each balancer 97 is essentially the equivalent of half of a coupling apparatus as shown in FIG. 4 . It should be noted that, unlike the coupling apparatus 99 , there is no coupling between the two adjacent balancers 97 B and 97 C.
- the accelerometers are run at about 17 volts.
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Abstract
Description
- This application claims priority from U.S. Provisional Patent Application No. 60/561,931 entitled Inertial Sensor Array and Coupling Apparatus for the Same, filed on Apr. 14, 2004 in the names of John A. Geen, William A. Clark, and Jinbo Kuang, which is hereby incorporated herein by reference in its entirety.
- This application is also related to a certain U.S. patent application entitled INERTIAL SENSOR WITH A LINEAR ARRAY OF SENSOR ELEMENTS filed on even date herewith, which claims priority from the above-referenced provisional patent application and is hereby incorporated by reference in its entirety.
- The invention generally relates to sensors and, more particularly, the invention relates to inertial sensors.
- Inertial sensors, such as MEMS gyroscopes, often are adversely affected by rotational vibration noise at the drive frequency (often referred to as “wobble”). In particular, MEMS gyroscopes can produce false readings if they are not capable of distinguishing between rotational vibration and the actual movement they are intended to detect.
- Also, distortion of the geometry of a MEMS device having an oscillating mass, such as a gyroscope, can produce an imbalance in the forces transverse to a longitudinal drive finger. This imbalance can cause a net force that is indistinguishable from a Coriolis force. Consequently, a gyroscope can produce false outputs. There are at least two sources of these geometric distortions. One arises from surface shear of the substrate (e.g., from release/wafer curvature on dicing). Another arises from differential expansion of the package and applied accelerations (e.g., diagonally, G×G). Some causes of G×G error is discussed in Geen, J. A., “Progress in Integrated Gyroscopes,” IEEE PLANS 2004 Proceedings, pp. 1-6, which is hereby incorporated herein by reference in its entirety.
- Embodiments of the present invention provide apparatus for coupling inertial sensor element frames so as to allow anti-phase movements of the inertial sensor element frames along parallel axes but substantially prevents in-phase movements of the frames.
- In accordance with one aspect of the invention there is provided apparatus for coupling sensor elements of an inertial sensor. The apparatus includes a bar coupled between first and second sensor element frames and at least one supporting structure supporting the bar. The at least one structure is coupled to a substrate underlying the frames. The structures allow the bar to rotate at a pivot point when the frames move in anti-phase to one another along substantially parallel axes but substantially prevent in-phase movements of the frames.
- In one exemplary embodiment, the apparatus further includes a first pair of short flexures extending from one of the frames and interconnected by a first long flexure and a second pair of short flexures extending from the other of the frames and interconnected by a second long flexure. The bar interconnects the first long flexure to the second long flexure substantially at the midpoints of the first and second long flexures. The at least one supporting structure includes an anchor flexure supporting the bar. The anchor flexure intersects with the bar substantially at the midpoints of the bar and the anchor flexure. Each end of the anchor flexure anchored to the substrate. Each of the long flexures is typically coupled so as to flex as the bar rotates.
- In another exemplary embodiment of the invention, the apparatus further includes a first flexure extending from one of the frames and a second flexure extending from the other of the frames. The bar interconnects the first and second flexures. The at least one supporting structure includes at least one anchor flexure supporting the bar. Each anchor flexure includes a structure anchored at one end to the at least one substrate and folded back 180 degrees to meet with the bar. The at least one anchor flexure may include four anchor flexures positioned around the pivot point. Each of the anchor flexures is typically anchored to the substrate adjacent to the bar. Each of the first and second flexures may include two substantially parallel members coupled at both ends, with one of the members coupled to the frame and the other member coupled to the bar such that the members flex as the bar rotates.
- In accordance with another aspect of the invention there is provided apparatus for coupling sensor elements of an inertial sensor. The apparatus includes coupling means for coupling first and second sensor element frames and supporting means for supporting the coupling means. The supporting means are coupled to a substrate underlying the frames. The supporting means allow the coupling means to rotate at a pivot point when the frames move in anti-phase to one another along substantially parallel axes but substantially preventing in-phase movements of the frames.
- In a first exemplary embodiment, the coupling means include a first pair of short flexures extending from one of the frames and interconnected by a first long flexure; a second pair of short flexures extending from the other of the frames and interconnected by a second long flexure; and a bar that interconnects the first long flexure to the second long flexure substantially at the midpoints of the first and second long flexures. The supporting means may include an anchor flexure supporting the bar, the anchor flexure intersecting with the bar substantially at the midpoints of the bar and the anchor flexure, each end of the anchor flexure anchored to the substrate. Each of the long flexures may be coupled so as to flex as the bar rotates.
- In another exemplary embodiment of the invention, the coupling means include a first flexure extending from one of the frames; a second flexure extending from the other of the frames; and a bar that interconnects the first and second flexures. The supporting means may include at least one anchor flexure supporting the bar, each anchor flexure including a structure anchored at one end to the at least one substrate and folded back 180 degrees to meet with the bar. The at least one anchor flexure may include four anchor flexures positioned around the pivot point. Each of the anchor flexures may be anchored to the substrate adjacent to the bar. Each of the first and second flexures may include two substantially parallel members coupled at both ends, one of the members coupled to the frame, the other member coupled to the bar, the members coupled so as to flex as the bar rotates.
- In typical embodiments of the invention, rotation of the substrate about an axis normal to the plane causes the movements of the frames.
- The foregoing and advantages of the invention will be appreciated more fully from the following further description thereof with reference to the accompanying drawings wherein:
-
FIG. 1 schematically shows a linear array of gyroscopes configured in accordance with illustrative embodiments of the invention; -
FIG. 2 schematically shows a coupling apparatus for coupling two frames shown inFIG. 1 in accordance with illustrative embodiments of the invention; -
FIG. 3 schematically shows additional details of an alternative embodiment of a first pair of gyroscopes; -
FIG. 4 shows more detail of the specific coupling apparatus used by the gyroscope pair shown inFIG. 3 ; and -
FIG. 5 shows more detail of specific balancers in accordance with illustrative embodiments of the invention. - The drawings are for illustrative purposes and may not be drawn to scale.
- In illustrative embodiments, an inertial sensor has a plurality of individual sensor components that all share a common centroid. Details of illustrative embodiments are discussed below.
-
FIG. 1 schematically shows anarray 10 of microelectromechanical systems (i.e., “MEMS”) configured in accordance with illustrative embodiments of the invention. Specifically, thearray 10 of MEMS devices together combine to effectively perform the function of a single gyroscope. To that end, thearray 10 includes fourMEMS gyroscopes 12A-D that all are secured to a common underlying substrate (not shown). Alternatively, the MEMSgyroscopes 12A-12D could be secured to different substrates. - Each
gyroscope 12A-12D includes at least one oscillating mass (referred to herein as “resonator frame gyroscopes 12A-12D about the Z-axis causes its resonator 14 to produce a Coriolis force that imparted to the accelerometer frame 16. Upon receipt of this Coriolis force, the frame 16 moves along the Y-axis. Capacitively coupledfingers 18 detect this Y-movement, which is translated into a signal representing the magnitude of the angular acceleration. - In illustrative embodiments, the
gyroscopes 12A-12D are similar to those disclosed in U.S. Pat. Nos. 6,505,511 and 6,122,961, the disclosures of which are incorporated herein, in their entireties, by reference. Thegyroscopes 12A-12D also may be similar to those disclosed in U.S. Pat. No. 6,877,374, the disclosure of which also is incorporated herein, in its entirety, by reference. - As noted above, in illustrative embodiments, the
different gyroscopes anti-phase signals array 10 therefore is configured to position thegyroscopes 12A-12D and phase the respective resonators 14 in a manner that accomplishes this end. The specific placement, number ofgyroscopes 12A-12D, and the phase of their resonators 14 thus are coordinated to ensure that they share a common centroid. -
FIG. 1 shows an exemplary arrangement that produces the desired result. In particular, thearray 10 includes a first pair ofgyroscopes 12A/B having the first andsecond gyroscopes gyroscopes 12 C/D having the third andfourth gyroscopes gyroscopes 12A/B, however, is not coupled with thesecond pair 12C/D. - When positioned in the manner shown in
FIG. 1 , thefirst gyroscope 12A and thefourth gyroscope 12D resonate in phase, while the second andthird gyroscopes
V 1+V 4=V 2+V3, -
- where:
- V1 is the vector distance of the
first gyroscope 12A to a point of rotation, - V2 is the vector distance of the
second gyroscope 12B to a point of rotation, - V3 is the vector distance of the
third gyroscope 12C to a point of rotation, and - V4 is the vector distance of the
fourth gyroscope 12D to a point of rotation.
- Note that a sign of the vector distance should be taken into account when considering this equation. When this relationship holds, the gyroscope as a whole becomes substantially insensitive to angular accelerations about that point of rotation to the extent that the responses of the frames match each other. The couplings overcome the mismatches induced by manufacturing tolerances and thereby improve the rejection of angular acceleration.
- This arrangement nevertheless should not adversely affect the
array 10 from detecting the underlying angular velocity for which it is designed. - Accordingly, embodiments of the invention should be substantially insensitive surface shear and also, as noted above, cause angular acceleration noise to cancel.
- As noted above, the individual frames 16 within each pair are coupled in a manner that facilitates operation. Specifically, frames 16A and 16B are coupled by coupling 99AB, while
frames FIG. 2 schematically shows more details of a mechanical coupling apparatus 99 for securing two of the frames. Although embodiments of the coupling apparatus 99 apply to any of the frames 16 shown, the frames 16 are identified inFIG. 2 as the first andsecond frames - Specifically, the
first frame 16A has a first pair ofshort flexures 20A that are coupled with a firstlong flexure 22A. In a corresponding manner, thesecond frame 16B has a second pair ofshort flexures 20B that are coupled with a secondlong flexure 22B. Abar 24 secures the firstlong flexure 22A to the secondlong flexure 22B. To provide some stability, a pair ofanchors bar 24 and couple with it by means of ananchor flexure 28. - This arrangement is substantially noncompliant when the two
frames frames first frame 16A is urged upwardly along the Y-axis, thesecond frame 16B is urged downwardly along the Y-axis. If both are urged upwardly along the Y-axis, however, this arrangement should be substantially non-compliant. In some embodiments, this arrangement permits theframes -
FIG. 3 schematically shows additional details of an alternative embodiment of the first pair offrames FIG. 4 shows more detail of the specific coupling apparatus shown inFIG. 3 . Note that this coupling apparatus may be used with other gyroscope configurations, including those shown inFIG. 1 . - As shown in
FIG. 4 , theanchor flexure 28 actually extends outwardly and then folds back 180 degrees to meet with thebar 24. In addition, the coupling apparatus also has etch compensators. See the text inFIG. 4 , which notes that the foldedanchor flexure 28 allows rotation of thebar 24 about a pivot point, but no translation perpendicular to the axis of thebar 24. Also, rather than have a pair ofshort flexures 20 on each frame, this embodiment uses a singleshort flexure 20 on each frame. - In addition to ensuring that the
frames - The coupling apparatus 99 effectively add mass and stiffness to the movements of the frames 16. Since each frame is only coupled to an adjacent frame along one of its sides, the coupling apparatus 99 effectively unbalances the movements of each frame. Therefore, the
array 10 preferably includes a number of balancers (referred to herein as “balancers 97A, 97B, 97C, and 97D,” respectively, or “balancer 97” generally) to help offset the effects of the coupling apparatus 99. Specifically, a balancer 97 is preferably coupled to a side of each frame opposite the side with the coupling apparatus 99. Thus,balancer 97A is coupled to frame 16A along the side opposite the coupling 99AB,balancer 97B is coupled to frame 16B along the side opposite the coupling 99AB,balancer 97C is coupled to frame 16C along the side opposite the coupling 99CD, andbalancer 97D is coupled to frame 16D along the side opposite the coupling 99CD. The configuration of each balancer 97 is typically the equivalent of half of a coupling apparatus 99 and therefore imparts substantially an equal but opposite mechanical effect on its respective frame 16. -
FIG. 5 shows more detail of specific balancers 97 (in this example, balancers 97B and 97C that sit between the two pairs of sensor elements) in accordance with illustrative embodiments of the invention. As shown, the configuration of each balancer 97 is essentially the equivalent of half of a coupling apparatus as shown inFIG. 4 . It should be noted that, unlike the coupling apparatus 99, there is no coupling between the twoadjacent balancers - In illustrative embodiments, the accelerometers are run at about 17 volts.
- The present invention may be embodied in other specific forms without departing from the true scope of the invention. The described embodiments are to be considered in all respects only as illustrative and not restrictive.
Claims (18)
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US7347094B2 (en) | 2008-03-25 |
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US7287428B2 (en) | 2007-10-30 |
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US20050229705A1 (en) | 2005-10-20 |
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